| Bruhat order on S4 | encoding | Hasse diagram | |
| Bruhat order on S5 | encoding | Hasse diagram | |
| Boolean lattice Q4 | (lexicographic order) (squashed order) (weighted) |
encoding encoding encoding |
Hasse diagram Hasse diagram Hasse diagram |
| Boolean lattice Q5 | (lexicographic
order) (squashed order) |
encoding encoding |
Hasse diagram Hasse diagram |
| Boolean lattice Q6 | (lexicographic order) (squashed order) |
encoding encoding |
Hasse diagram Hasse diagram |
| Boolean lattice Q7 | (lexicographic order) (squashed order) |
encoding encoding |
Hasse diagram Hasse diagram |
| Subcubes of Q3 | powers of
 |
encoding | Hasse diagram |
| Subcubes of Q4 | encoding | Hasse diagram | |
| Submatrices of 3x2 matrix | encoding | Hasse diagram | |
| Gosset Figure | weak stability order | encoding | Hasse diagram |
| Gosset Figure | strong stability order | encoding | Hasse diagram |
